where \(r_{TE}\)  is reflection coefficient for infinite slab [1]}.
The rest part of \(\mathbf {E}_{in,total}\)  is transmitted through the slab at \(z=d\)  with the same incident angle \(\theta \)  and allowing us to write the total transmitted electric field as
\(\mathbf {E}_{t,total}=E_{0}\,t_{TE}\sum _{j=1}^2 e^{i \mathbf {k}_{j}\cdot \mathbf {r}}\hat{y}, \) 
